Acronym gipti
Name great prismatotriakisicositetrachoron
Circumradius sqrt[8-3 sqrt(2)] = 1.938391
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gocco groh hip querco quitco toe trip
gipti 24000242496
girpdi 0249602400
paqri 00962402496
)
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gipti is isomorphic to sipti, thereby replacing octagrams by octagons, respectively quitco by girco and gocco by socco.


Incidence matrix according to Dynkin symbol

x3x4o3x4/3*b

. . . .      | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
-------------+-----+-------------+---------------------+------------
x . . .      |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x . .      |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. . . x      |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
-------------+-----+-------------+---------------------+------------
x3x . .      |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . . x      |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4o .      |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x . x4/3*b |   8 |   0   4   4 |   *   *   * 144   * |  0  1  0  1
. . o3x      |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-------------+-----+-------------+---------------------+------------
x3x4o .        24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x . x4/3*b   48 |  24  24  24 |   8  12   0   6   0 |  * 24  *  *
x . o3x         6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4o3x4/3*b   24 |   0  24  24 |   0   0   6   6   8 |  *  *  * 24

x3x4/3o3/2x4/3*b

. .   .   .      | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
-----------------+-----+-------------+---------------------+------------
x .   .   .      |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x   .   .      |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. .   .   x      |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
-----------------+-----+-------------+---------------------+------------
x3x   .   .      |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x .   .   x      |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4/3o   .      |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x   .   x4/3*b |   8 |   0   4   4 |   *   *   * 144   * |  0  1  0  1
. .   o3/2x      |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
-----------------+-----+-------------+---------------------+------------
x3x4/3o   .        24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x   .   x4/3*b   48 |  24  24  24 |   8  12   0   6   0 |  * 24  *  *
x .   o3/2x         6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4/3o3/2x4/3*b   24 |   0  24  24 |   0   0   6   6   8 |  *  *  * 24

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